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Dergiler / Sinop Üniversitesi Fen Bilimleri Dergisi / 2017 / Cilt: 2 - Sayı: 1

Statistically Relatively A−summability of Convergence of Double Sequences of Positive Linear Operators

Fadime DİRİK
Pınar OKÇU ŞAHİN
Sayfa
59–66
Yayın Tarihi
2017-07-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Also, we study the rates of statistical relatively A−summability of positive linear operators.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we introduce the concept of statistically relatively A-summability.
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Temel Bulgular & Veri:Based upon this definition and A-statistically relatively uniform convergence for double sequences of functions, we prove a Korovkin-type approximation theorem and give a strong example.
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Sonuç & Katkı:Also, we study the rates of statistical relatively A−summability of positive linear operators.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Statistical relatively convergence · statistical A−summability · the Korovkin theorem

Özet

In this paper, we introduce the concept of statistically relatively A-summability. Based upon this definition and A-statistically relatively uniform convergence for double sequences of functions, we prove a Korovkin-type approximation theorem and give a strong example. Also, we study the rates of statistical relatively A−summability of positive linear operators.

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Bu Makaleye Atıf Yap

DİRİK, F., ŞAHİN, P. O. (2017). Statistically Relatively A−summability of Convergence of Double Sequences of Positive Linear Operators. Sinop Üniversitesi Fen Bilimleri Dergisi, Cilt: 2 - Sayı: 1, 59–66. https://ajindex.com/articles/415172

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Kaynakça (1)

  1. F. Altomare and M. Campiti, Korovkin Type Approximation Theory and Its Application, Walter de Gruyter Publ., Berlin (1994) 2. Anastassiou, G. A. and Duman, O., A Baskakov type generalization of statistical Korovkin theory. J. Math. Anal. Appl. 340, 476-486 (2008) 3. Anastassiou, G. A. and Duman, O., Statistical fuzzy approximation by fuzzy positive linear operators. Compt. Math. Appl. 55, 573-580, (2008) 4. E. W. Chittenden, Relatively uniform convergence of sequences of functions, Transactions of the AMS, 15, 197-201 (1914) 5. E. W. Chittenden, On the limit functions of sequences of continuous functions converging relatively uniformly, Transactions of the AMS, 20, 179-184 (1919) 6. E. W. Chittenden, Relatively uniform convergence and classi cation of functions, Transactions of the AMS, 23, 1-15, (1922) 7. F. Dirik and K. Demirci, Korovkin Type Approximation Theorem for Functions of Two Variables in Statistical Sense, Turk J. Math. 34, 73-83, (2010) 8. Hamilton, H. J., Transformations of multiple sequences, Duke Math. J. 2, 29-60 (1936) 9. G. H. Hardy, Divergent series, Oxford Uni. Press, London, (1949)